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arxiv: 1601.00138 · v1 · pith:WVSHZOJ7new · submitted 2016-01-02 · ✦ hep-ph

Soft A₄ to Z₃ Symmetry Breaking and Cobimaximal Neutrino Mixing

classification ✦ hep-ph
keywords breakingneutrinocobimaximalleptonmixingsoftsymmetryterms
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I propose a model of radiative charged-lepton and neutrino masses with $A_4$ symmetry. The soft breaking of $A_4$ to $Z_3$ lepton triality is accomplished by dimension-three terms. The breaking of $Z_3$ by dimension-two terms allow cobimaximal neutrino mixing $(\theta_{13} \neq 0, \theta_{23} = \pi/4, \delta_{CP} = \pm \pi/2)$ to be realized with only very small finite calculable deviations from the residual lepton triality. This construction solves a long-standing technical problem inherent in renormalizable $A_4$ models since their inception.

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